Finding the Third Proportional to 13,284 and 20,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,284 : 20,344.50 = 20,344.50 : x
2. Step 2: Convert to fraction form
   13,284/20,344.50 = 20,344.50/x
3. Step 3: Cross multiply
   13,284x = 20,344.50 × 20,344.50
4. Step 4: Simplify right side
   13,284x = 413,898,680.25
5. Step 5: Solve for x
   x = 413,898,680.25/13,284
6. Step 6: Final answer
   x = 31,157.68